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Algebra Standard for Grades 6-8




Instructional programs from prekindergarten through grade 12 should enable all students to—  In grades 6–8 all students should— 
Understand patterns, relations, and functions
  • represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules;
  • relate and compare different forms of representation for a relationship;
  • identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations.
Represent and analyze mathematical situations and structures using algebraic symbols
  • develop an initial conceptual understanding of different uses of variables;
  • explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope;
  • use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships;
  • recognize and generate equivalent forms for simple algebraic expressions and solve linear equations
Use mathematical models to represent and understand quantitative relationships
  • model and solve contextualized problems using various representations, such as graphs, tables, and equations.
Analyze change in various contexts
  • use graphs to analyze the nature of changes in quantities in linear relationships.

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